Browsing Mathematics (Faculty of) by Supervisor "Siegel, David"
Now showing items 1-3 of 3
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Existence and uniqueness of attracting slow manifolds: An application of the Ważewski principle
(University of Waterloo, 2017-01-23)In this work we present some of the geometric constructs that aid the application of the Ważewski Theorem. To illustrate the procedure the Michaelis-Menten mechanism will be considered. We show that M, a slow manifold, ... -
A Floating Ball and Two Asymptotic Problems in Capillarity
(University of Waterloo, 2021-06-02)The study of capillary phenomena can be traced back to the age of Aristotle. In this thesis, a floating ball and two asymptotic problems in capillarity are considered, all of which include surface tension and gravity. The ... -
Floating Bodies with Surface Tension
(University of Waterloo, 2016-08-18)Capillary phenomena have been studied by mathematicians and physicists for hundreds of years. In this thesis, both two-dimensional(2D) and three-dimensional(3D) bodies floating on an unbounded reservoir are studied based ...